S-box design based on optimize LFT parameter selection: a practical approach in recommendation system domain

• Published in: Multimedia tools and applications Vol. 79; no. 17-18; pp. 11667 - 11684
• Main Authors: Beg, Saira, Ahmad, Naveed, Anjum, Adeel, Ahmad, Mansoor, Khan, Abid, Baig, Faisal, Khan, Ahmed
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-05-2020; Springer Nature B.V
• Subjects: Approximation; Computer Communication Networks; Computer Science; Criteria; Cryptography; Data Structures and Information Theory; Design optimization; Encryption; Linearity; Mathematical analysis; Multimedia Information Systems; Nonlinearity; Parameters; Probabilistic methods; Recommender systems; Special Purpose and Application-Based Systems; Statistical analysis; Text-2-image conversion; Chaotic theory; S-box; Galois field; Projective linear group (PGL); Cryptography; Recommendation system; NIST standard
• ISSN: 1380-7501; 1573-7721
• DOI: 10.1007/s11042-019-08464-6

The strength of cryptography encryption is strongly depended upon the substitution box (S-box), hence highly non-linear S-box is appreciated in cryptography. In this work, we proposed a scheme to select the optimized values for control parameters (a, b, c, d) of linear fractional transform (LFT) to achieve an S-box with non-linearity of 112. For dynamic parameter values, we used location of chaotic sequences. The proposed s-box tested on different criteria such as non-linearity method (NL), probability methods (linear approximation (LP), differential approximation (DP), strictly avalanche criteria (SAC) and bit independence criteria (BIC). Our result shows that proposed s-box achieves better or equal to cryptographic strength as compared with state-of-the-art techniques. Moreover, we tested the proposed s-box based encryption method in recommendation system scenario with the idea of text-to-image conversion. The statistical analysis of this image encryption shows the bright prospects of the proposed method.